Hybrid feedback stabilization of systems with quantized signals

Daniel Liberzon

doi:10.1016/S0005-1098(03)00151-1

Hybrid feedback stabilization of systems with quantized signals

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is concerned with global asymptotic stabilization of continuous-time systems subject to quantization. A hybrid control strategy originating in earlier work (Brockett and Liberzon, IEEE Trans. Automat. Control 45 (2000) 1279) relies on the possibility of making discrete on-line adjustments of quantizer parameters. We explore this method here for general nonlinear systems with general types of quantizers affecting the state of the system, the measured output, or the control input. The analysis involves merging tools from Lyapunov stability, hybrid systems, and input-to-state stability.

Original language	English (US)
Pages (from-to)	1543-1554
Number of pages	12
Journal	Automatica
Volume	39
Issue number	9
DOIs	https://doi.org/10.1016/S0005-1098(03)00151-1
State	Published - Sep 2003

Keywords

Hybrid control
Input-to-state stability
Lyapunov function
Quantization

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

Online availability

10.1016/S0005-1098(03)00151-1

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abstract = "This paper is concerned with global asymptotic stabilization of continuous-time systems subject to quantization. A hybrid control strategy originating in earlier work (Brockett and Liberzon, IEEE Trans. Automat. Control 45 (2000) 1279) relies on the possibility of making discrete on-line adjustments of quantizer parameters. We explore this method here for general nonlinear systems with general types of quantizers affecting the state of the system, the measured output, or the control input. The analysis involves merging tools from Lyapunov stability, hybrid systems, and input-to-state stability.",

keywords = "Hybrid control, Input-to-state stability, Lyapunov function, Quantization",

author = "Daniel Liberzon",

note = "Funding Information: This work was supported by NSF ECS-0134115 CAR, NSF ECS-0114725, and DARPA/AFOSR MURI F49620-02-1-0325 grants. A preliminary version of this paper was presented at the 15th IFAC World Congress in Barcelona, Spain, July 2002. This paper was recommended for publication in revised form by Associate Editor Alessandro Astolfi under the direction of Editor Hassan Khalil. ",

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PY - 2003/9

Y1 - 2003/9

N2 - This paper is concerned with global asymptotic stabilization of continuous-time systems subject to quantization. A hybrid control strategy originating in earlier work (Brockett and Liberzon, IEEE Trans. Automat. Control 45 (2000) 1279) relies on the possibility of making discrete on-line adjustments of quantizer parameters. We explore this method here for general nonlinear systems with general types of quantizers affecting the state of the system, the measured output, or the control input. The analysis involves merging tools from Lyapunov stability, hybrid systems, and input-to-state stability.

AB - This paper is concerned with global asymptotic stabilization of continuous-time systems subject to quantization. A hybrid control strategy originating in earlier work (Brockett and Liberzon, IEEE Trans. Automat. Control 45 (2000) 1279) relies on the possibility of making discrete on-line adjustments of quantizer parameters. We explore this method here for general nonlinear systems with general types of quantizers affecting the state of the system, the measured output, or the control input. The analysis involves merging tools from Lyapunov stability, hybrid systems, and input-to-state stability.

KW - Hybrid control

KW - Input-to-state stability

KW - Lyapunov function

KW - Quantization

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JF - Automatica

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Hybrid feedback stabilization of systems with quantized signals

Abstract

Keywords

ASJC Scopus subject areas

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